Herbrandization

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noun

The conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by a universal quantifier which lies in the scope of an even number of logical negations with a Herbrand function, and (3) replace any variable bound by an existential quantifier which lies in the scope of an odd number of negations with a Herbrand function.

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Meanings

nounHerbrandization (uncountable)
  1. uncountablehuman sciencesThe conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by a universal quantifier which lies in the scope of an even number of logical negations with a Herbrand function, and (3) replace any variable bound by an existential quantifier which lies in the scope of an odd number of negations with a Herbrand function.

Origin

From Herbrand + -ization, after Jacques Herbrand (1908–1931), French mathematician.

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Cite this entry
APA

Herbrandization. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Herbrandization

MLA

“Herbrandization.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Herbrandization. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Herbrandization,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Herbrandization.

Source: Herbrandization on Wiktionary, CC BY-SA 4.0.